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Finding the Fourth Proportional to 528,237.04, 728,962.86 and 286,519

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Solution

The fourth proportional to 528,237.04, 728,962.86 and 286,519 is: 395,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,237.04 : 728,962.86 = 286,519 : x
  2. Step 2: Convert to fraction form
    528,237.04/728,962.86 = 286,519/x
  3. Step 3: Cross multiply
    528,237.04x = 728,962.86 × 286,519
  4. Step 4: Simplify right side
    528,237.04x = 208,861,709,684.34
  5. Step 5: Solve for x
    x = 208,861,709,684.34/528,237.04
  6. Step 6: Final answer
    x = 395,393.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.